| 一个求孤子方程有限带势解的方法 |
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| 引用本文： | 周汝光.一个求孤子方程有限带势解的方法[J].数学物理学报(A辑),1998,18(2):228-234. |
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| 作者姓名： | 周汝光 |
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| 作者单位： | 徐州师范大学!徐州，221009 |
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| 基金项目： | 国家教委高校博士点基金 |
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| 摘 要： | 基于Lax对非线性化方法，我们以KdV方程为例给出了一个构造孤子方程的有限带势解的方法．通过Lax对非线性化KdV方程被分解成两个有限维可积系统，进而找到这些有限维可积系统公共的角-作用坐标，最终我们获得了KdV方程的有限带势解．
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| 关 键 词： | 孤立子 Lax对非线性化 有限带势解 超椭圆曲线 |
A Method to Seek the Finite-Band Solution of Soliton Equation |
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| Zhou Ruguang.A Method to Seek the Finite-Band Solution of Soliton Equation[J].Acta Mathematica Scientia,1998,18(2):228-234. |
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| Authors: | Zhou Ruguang |
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| Abstract: | Based on the method of the nonlinearization of Lax pair, a method to seek the finite-band solution of solton equation is presented. We take KdV equation as an example. First through the nonlinearization of Lax pair, we decompose the KdV equation into two finite-dimensional integrable systems; then we give a common angle-action variables for these two Hamiltonian systems. Fanilly we obtain the finite-band solution of KdV equation. |
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| Keywords: | Soliton Nonlinearization of Lax pair Finite-band solution Hyperellptical curve |
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